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20003455314 = 232174115110559
BaseRepresentation
bin10010101000010011…
…001000000101010010
31220122002000211001100
4102220103020011102
5311431341032224
613104531245230
71305463364463
oct225023100522
956562024040
1020003455314
11853547a057
123a63149816
131b6a3175bb
14d7a944d6a
157c11eeac9
hex4a84c8152

20003455314 has 96 divisors (see below), whose sum is σ = 47325358080. Its totient is φ = 6081408000.

The previous prime is 20003455301. The next prime is 20003455321. The reversal of 20003455314 is 41355430002.

20003455314 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 345 + 5 + 314 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1889167 + ... + 1899725.

It is an arithmetic number, because the mean of its divisors is an integer number (492972480).

Almost surely, 220003455314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20003455314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23662679040).

20003455314 is an abundant number, since it is smaller than the sum of its proper divisors (27321902766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20003455314 is a wasteful number, since it uses less digits than its factorization.

20003455314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10776 (or 10773 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 20003455314 its reverse (41355430002), we get a palindrome (61358885316).

The spelling of 20003455314 in words is "twenty billion, three million, four hundred fifty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 151 153 246 302 306 369 453 697 738 906 1359 1394 2091 2567 2718 4182 5134 6191 6273 7701 10559 12382 12546 15402 18573 21118 23103 31677 37146 46206 55719 63354 95031 105247 111438 179503 190062 210494 315741 359006 432919 538509 631482 865838 947223 1077018 1298757 1594409 1615527 1894446 2597514 3188818 3231054 3896271 4783227 7359623 7792542 9566454 14349681 14719246 22078869 27104953 28699362 44157738 54209906 65370769 66236607 81314859 130741538 132473214 162629718 196112307 243944577 392224614 487889154 588336921 1111303073 1176673842 2222606146 3333909219 6667818438 10001727657 20003455314